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241104680 = 23519259283
BaseRepresentation
bin11100101111011…
…11011100101000
3121210200101102222
432113233130220
5443210322210
635531413212
75655233045
oct1627573450
9553611388
10241104680
11114108573
12688b4208
133ac498bb
14240421cc
1516278655
hexe5ef728

241104680 has 96 divisors (see below), whose sum is σ = 584301600. Its totient is φ = 89500032.

The previous prime is 241104679. The next prime is 241104683. The reversal of 241104680 is 86401142.

It is not an unprimeable number, because it can be changed into a prime (241104683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851819 + ... + 852101.

It is an arithmetic number, because the mean of its divisors is an integer number (6086475).

Almost surely, 2241104680 is an apocalyptic number.

241104680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241104680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292150800).

241104680 is an abundant number, since it is smaller than the sum of its proper divisors (343196920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241104680 is a wasteful number, since it uses less digits than its factorization.

241104680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 241104680 is about 15527.5458460119. The cubic root of 241104680 is about 622.3985135868.

The spelling of 241104680 in words is "two hundred forty-one million, one hundred four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 236 283 295 361 380 472 566 590 722 760 1121 1132 1180 1415 1444 1805 2242 2264 2360 2830 2888 3610 4484 5377 5605 5660 7220 8968 10754 11210 11320 14440 16697 21299 21508 22420 26885 33394 42598 43016 44840 53770 66788 83485 85196 102163 106495 107540 133576 166970 170392 204326 212990 215080 317243 333940 408652 425980 510815 634486 667880 817304 851960 1021630 1268972 1586215 2043260 2537944 3172430 4086520 6027617 6344860 12055234 12689720 24110468 30138085 48220936 60276170 120552340 241104680